From the obituary of a game inventor who reportedly died

on Monday, February 25, 2013 —

” ‘He was hired because of the game,’ Richard Turyn,

a mathematician who worked at Sylvania, told

the Washington Post in a 2004 feature on Diplomacy.”

* For the theorem, see Wolfram Neutsch, *Coordinates .
*(Published by de Gruyter, 1996. See pp. 761-766.)

Having defined (pp. 751-752) the Miracle Octad Generator (MOG)

as a 4×6 array to be used with Conway’s “hexacode,” Neutsch says . . .

“Apart from the three constructions of the Golay codes

discussed at length in this book (lexicographic and via

the MOG or the projective line), there are literally

dozens of alternatives. For lack of space, we have to

restrict our attention to a single example. It has been

discovered by Turyn and can be connected in a very

beautiful way with the Miracle Octad Generator….

To this end, we consider the natural splitting of the MOG into

three disjoint octads L, M, R (‘left’, ‘middle’, and ‘right’ octad)….”

— From page 761

* “The theorem of Turyn” *is on page 764

*—*